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56860416000 = 2113253232937
BaseRepresentation
bin110100111101001001…
…010001100000000000
312102202200220102011100
4310331021101200000
51412422231303000
642042112014400
74052024363403
oct647511214000
9172680812140
1056860416000
112212924a143
12b02a531400
135492182a8b
142a75913d3a
15172bcdaa00
hexd3d251800

56860416000 has 1152 divisors, whose sum is σ = 227215497600. Its totient is φ = 13624934400.

The previous prime is 56860415981. The next prime is 56860416007. The reversal of 56860416000 is 61406865.

56860416000 is a `hidden beast` number, since 5 + 6 + 8 + 6 + 0 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56860416007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1536767982 + ... + 1536768018.

It is an arithmetic number, because the mean of its divisors is an integer number (197235675).

Almost surely, 256860416000 is an apocalyptic number.

56860416000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56860416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113607748800).

56860416000 is an abundant number, since it is smaller than the sum of its proper divisors (170355081600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56860416000 is a wasteful number, since it uses less digits than its factorization.

56860416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 56860416000 in words is "fifty-six billion, eight hundred sixty million, four hundred sixteen thousand".